We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:
a²=b²+c²-2bcCosA
Solving for the value of a, we have:
a²=10²+14²-2(10)(14)cos54°
a²=131.42
a=11.46
The answer is 11.46 or 11.5.
It would b 9 x (-3^(x-1))
Divide both sides by -3 and the answer s=-2a + 30
Answer:
x1 = 6 + 2√6 or x2 = 6 - 2√6
Step-by-step explanation:
x² - 12x + 12 = 0
We need to use formula:
a² - 2ab + b² = (a - b)².
x² - 12x = - 12
x² - 2*6x + 6²- 6² = - 12
(x - 6)² - 36 = -12
(x - 6)² = - 12 + 36
(x -6)² = 24
(x - 6) = √24 or (x-6) = -√24
(x - 6) = 2√6 or (x-6) = - 2√6
x = 6 + 2√6 or x = 6 - 2√6
1) true
2)false
Step-by-step explanation:
1) 5(3)+2(4) = 23
= 15+8=23
23=23
thus, (3,4) is solution for 5x + 2y = 23
2) 5(0)+2(4) =23
= 0+8 is not 23
thus, (0,4) is not solution for 5x + 2y = 23
